And what would the webpage title be?Pressure on a Button on a Table

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    Pressure Table
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A vertical force of 30N is applied to a flat button with a radius of 1cm, prompting a calculation of the pressure exerted on it. The formula for pressure, P=F/A, is used, where A is the area of the button calculated as πr². Participants are encouraged to ensure unit consistency while performing the calculation. The discussion emphasizes the importance of correctly applying the formula to derive the pressure value. Accurate calculations are essential for understanding the pressure applied to the button.
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1. A vertical force of 30N is applied uniformly to a flat button with a radius of 1cm that is lying on a table. Estimate the pressure applied to the button



2. P=F/A



3. P=F/A= 30/(3.14)(r)^2
 
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Welcome to PF!

Hi alsemmelink! Welcome to PF! :smile:

(try using the X2 tag just above the Reply box :wink:)
alsemmelink said:
P=F/A= 30/(3.14)(r)^2

That's the correct formula …

so what answer do you get (and remember to be careful about the units)? :smile:
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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